How do I create function that is defined by itself?

Question

Hjalmar Stenberg 2021-4-22

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https://ww2.mathworks.cn/matlabcentral/answers/810085-how-do-i-create-function-that-is-defined-by-itself

回答： Pratyush Roy 2021-4-27

I need help creating this function. I have defined x(t) as

x = @(t) t.*((t>=0)&(t<1))+(0.5+0.5.*cos(2*pi*t)).*((t>=1)&(t<2))+(3-t).*((t>=2)&(t<3));

The end result should look like this

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Answer 1

Pratyush Roy 2021-4-27

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Hi,

As per the equations mentioned above, the function is a periodic one with a period of 4. You can refer to code snippet below to generate a periodic function:

x = @(t) t.*((t>=0)&(t<1))+(0.5+0.5.*cos(2*pi*t)).*((t>=1)&(t<2))+(3-t).*((t>=2)&(t<3))
duration = T;
t = 0:0.5:T; %Time interval is chosen as 0.5 in this case, user can change this value.
y = x(mod(t,4));%Period of 4
plot(t,y)

Hope this helps!